A resistor of

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A resistor of

20\,\Omega

, an inductor of

0.20\,\text{H}

and a capacitor of

50\,\mu\text{F}

are connected in series to a sinusoidal source of

150\,\text{V}

(r.m.s.). The supply frequency is

50\,\text{Hz}

. (a) Calculate the resonant frequency (in hertz) of the circuit. (b) Determine the r.m.s. current drawn from the source at the operating frequency of

50\,\text{Hz}

. (c) State whether the current at

50\,\text{Hz}

leads or lags the applied voltage and give a brief reason based on your calculations.

Related theory

Power in AC Circuits
AC Circuit Analysis
Series LCR circuit
AC applied to a series LCR circuit
Alternating Current

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